Home / 148,382-314,421

Finding the Third Proportional to 148,382 and 314,421

Calculator

Solution

The third proportional to 148,382 and 314,421 is: 666,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,382 : 314,421 = 314,421 : x
  2. Step 2: Convert to fraction form
    148,382/314,421 = 314,421/x
  3. Step 3: Cross multiply
    148,382x = 314,421 × 314,421
  4. Step 4: Simplify right side
    148,382x = 98,860,565,241
  5. Step 5: Solve for x
    x = 98,860,565,241/148,382
  6. Step 6: Final answer
    x = 666,257.13

Related Problems

Find third proportional to 74,191 and 157,210.50
Half scale
Find third proportional to 296,764 and 628,842
Double scale
Find third proportional to 148,384 and 314,425
Similar ratio
Find third proportional to 222,573 and 471,631.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.